Evaluate fc 2x ds, where consists of the arc of the parabola y= x2 from to followed by the vertical line segment from (1, 1) to(1, 2)
Evaluate fc 2x ds, where consists of the arc of the parabola y= x2 from to followed by the vertical line segment from (1, 1) to(1, 2)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...
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Evaluate fc 2x ds, where consists of the arc of the parabola y= x2 from to followed by the vertical line segment from (1, 1) to
(1, 2)
Expert Solution
Step 1
The given line integral is where C is the arc of the parabola from (0,0) to (1,1) and followed by vertical line segment (1,1) to (1,2)
Now, let can be parametrize by where
So, we get
we put
Finally we can write
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